K-Theory is a branch of mathematics that studies vector bundles and their properties. It provides a way to classify these bundles using algebraic structures, which helps in understanding various topological spaces. Essentially, K-Theory connects geometry and algebra, allowing mathematicians to analyze shapes and spaces through algebraic means. One of the key applications of K-Theory is in algebraic topology, where it helps in distinguishing different types of spaces based on their vector bundles. Additionally, K-Theory has implications in mathematical physics and operator algebras, making it a valuable tool in both pure and applied mathematics.